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Finding the Fourth Proportional to 12,852.60, 19,268.82 and 5,067.24

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Solution

The fourth proportional to 12,852.60, 19,268.82 and 5,067.24 is: 7,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.60 : 19,268.82 = 5,067.24 : x
  2. Step 2: Convert to fraction form
    12,852.60/19,268.82 = 5,067.24/x
  3. Step 3: Cross multiply
    12,852.60x = 19,268.82 × 5,067.24
  4. Step 4: Simplify right side
    12,852.60x = 97,639,735.46
  5. Step 5: Solve for x
    x = 97,639,735.46/12,852.60
  6. Step 6: Final answer
    x = 7,596.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.